{"title":"MODEL MATEMATIKA SIR PADA PENYEBARAN PENYAKIT COVID-19 DENGAN EFEKTIVITAS VAKSIN","authors":"Nia Armita, L. Harini, Ida Ayu Putu Ari Utari","doi":"10.24843/mtk.2024.v13.i01.p439","DOIUrl":"https://doi.org/10.24843/mtk.2024.v13.i01.p439","url":null,"abstract":"Corona Virus Disease (COVID-19) is one of the disease outbreaks that has spread throughout the world since the end of 2019. This disease causes infected individuals to experience infections in the respiratory tract with a fairly high risk. One branch of mathematics that can help overcome this case is the formation of mathematical models. The model formed is the SIR model basically describes the spread of disease in the Susceptible (S), Infected (I), Recovered (R) classes, but in this study the Infected (I) class was classified into two and added parameters to decrease vaccine effectiveness. The former model is then used to find a solution in the form of a disease-free equilibrium point, where the point will be used to form a basic reproduction number. To prove that the equilibrium point found to be stable, a stability analysis will be carried out and in the model that has been formed it is found that the disease-free equilibrium point is locally asymptotic stable with the condition that. After analysis, it was found that the rate of decline in vaccine effectiveness was quite influential on the class of infection .","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":"162 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140475849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Perhitungan Premi Asuransi Menggunakan Model Select Table Pada Asuransi Joint Life","authors":"Nindi Sri Wahyuni, I. N. Widana, Kartika Sari","doi":"10.24843/mtk.2024.v13.i01.p434","DOIUrl":"https://doi.org/10.24843/mtk.2024.v13.i01.p434","url":null,"abstract":"Asuransi jiwa merupakan perjanjian antara penanggung (perusahaan asuransi) dan tertanggung (peserta asuransi) untuk mengatasi masalah finansial yang timbul akibat kematian pihak tertanggung. Asuransi jiwa dibagi menjadi beberapa macam salah satunya adalah asuransi jiwa joint life yang merupakan asuransi jiwa gabungan dimana uang pertanggungan diberikan apabila salah satu tertanggung meninggal. Sebaliknya, peserta asuransi memiliki kewajiban untuk membayar sejumlah uang yang disebut premi ke perusahaan asuransi sesuai dengan kontrak yang telah disepakati. Model select table inilah yang akan digunakan dalam menghitung besar premi yang akan ditanggung oleh pihak tertanggung. Tujuan penelitian untuk menghitung premi dengan menggunakan model select table dan tanpa select table pada asuransi joint life berjangka untuk dua orang tertanggung. Tabel yang digunakan adalah Select Life Table with a two-year select period dalam buku Actuarial Mathematicts for Life Contingent Ris (Dickson, et al., 2009) dan Tabel Mortalitas Indonesia. Hasil yang diperoleh adalah nilai premi yang dihitung menggunakan model select table lebih kecil dari pada tanpa menggunakan select table, dimana jika perusahaana asuransi menggukana model select table dalam perhitungan premi, pihak tertanggung dapat membayar premi lebih kecil ke perusahaan asuransi","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":"233 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140472751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ANALISIS FAKTOR-FAKTOR YANG MEMENGARUHI KINERJA PEGAWAI MENGGUNAKAN PARTIAL LEAST SQUARE","authors":"Priscella Purba, G. K. Gandhiadi, Made Susilawati","doi":"10.24843/mtk.2024.v13.i01.p436","DOIUrl":"https://doi.org/10.24843/mtk.2024.v13.i01.p436","url":null,"abstract":"Partial least squares (PLS) is a powerful analytical technique that may be utilised across all data scales, without the need for numerous assumptions and without the requirement of a large sample size. In this study, the PLS method was utilized to determine the elements influencing the performance of employees of PT Pegadaian (Persero) Medan Region I office. The elements employed in this study are: leadership, work environment, discipline, remuneration and work motivation. The results showed that work motivation has a positive and significant effect on employee performance with an effect of 0.733. Factors that affect employee performance at PT Pegadaian (Persero) Medan Region I Office, namely: work motivation, remuneration, discipline and work environment.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":"909 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140474296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I. Made, Agus Riotisna, I. Komang, Gde Sukarsa, Gusti Ayu, Made Srinadi, P. Eka, Nila Kencana
{"title":"PENENTUAN PRIORITAS ATRIBUT PRODUSEN MINUMAN INSTAN DENGAN MENGGUNAKAN METODE ANALYTIC HIERARCHY PROCESS","authors":"I. Made, Agus Riotisna, I. Komang, Gde Sukarsa, Gusti Ayu, Made Srinadi, P. Eka, Nila Kencana","doi":"10.24843/mtk.2023.v12.i03.p424","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p424","url":null,"abstract":"Decision Support System is a computer-based interactive system that helps decision making in utilizingnthe use of data and decision model models to solve problems that are semi-structured and unstructured The decision support system method is very diverse several methods that are often used, including the fuzzy logic method Expert System Method and the Analytical Hierarchy Process (AHP) method in this study will use the analytical hierarchy method AHP Process to Determine the Priority of Instant Drink Manufacturer Attributes at PT Kembar Putra Makmur The results of the study showed that the highest criteria were found in the delivery criteria with a value of 0 27 and the highest alternative was found in alternative KINO producers with a value of 0 55","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49609623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Rizki, Nur Ihsan, G. Gandhiadi, Luh Putu, Ida Harini
{"title":"PREDIKSI KELULUSAN MAHASISWA PROGRAM STUDI MATEMATIKA UNIVERSITAS UDAYANA MENGGUNAKAN BACKPROPAGATION NEURAL NETWORK","authors":"M. Rizki, Nur Ihsan, G. Gandhiadi, Luh Putu, Ida Harini","doi":"10.24843/mtk.2023.v12.i03.p425","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p425","url":null,"abstract":"Based on the rules of the BAN-PT Study Program Accreditation Instrument 4.0 (IAPS 4.0), one of the study program accreditation assessment indicators is the percentage of students who graduate on time. The percentage of Udayana University Mathematics Study Program students who graduated on time during the graduation period from 2002 to 2019 was 52.5%. It can be seen that many students fail to complete their studies on time, which has an impact on the study program accreditation assessment. Based on these problems, this study aims to help academics increase the percentage of Udayana University Mathematics Study Program graduates by predicting the graduation of mathematics study program students using the backpropagation neural network method. This study uses data on alumni of students of the 2002-2017 mathematics study program. With the BNN 5-3-1 architecture, the predicted results of graduation for students of the Udayana University mathematics study program are 73%.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49386642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SOME NEW RESULTS OF A FRACTIONAL VON BERTALANFFY MODEL","authors":"Avan AL-SAFFAR","doi":"10.24843/mtk.2023.v12.i03.p419","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p419","url":null,"abstract":"In this article, we review the deterministic and perturbed Von Bertalanffy model that has been developing to discuss the existence and uniqueness results of the model. The key research issues are highlighted, and the results and interpretations are summarized. We investigate the effects of changing some of the system's control parameters through numerical simulations. We resolve the Von Bertalanffy ordinary differential equation of fractional order. The analytical solution is obtained.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46165163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"PENGEMBANGAN E-MODULE MATEMATIKA GAMIFIKASI BERBASIS PROBLEM BASED LEARNING UNTUK MENINGKATKAN MOTIVASI BELAJAR","authors":"Indah Dwi Setyaningrum, Bambang Priyo Daminto, Wharyanti Ika Purwaningsih","doi":"10.24843/mtk.2023.v12.i03.p420","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p420","url":null,"abstract":"This study aims to determine the development and feasibility of e-module gamification mathematics based on problem based learning to increase motivation to learn mathematics. This research uses the type of research and development (R&D). The model used is the ADDIE model. The stages of the ADDIE model are analysis, design, development, implementation, and evaluation. This research was conducted on 37 students at SMP Negeri 1 Sawangan. The results showed that e-module gamification mathematics based on problem based learning was very valid based on the average score of 4.5 for media experts and 4.3 for material experts. E-module gamification mathematics based on problem based learning meets the practicality criteria in a limited trial of 76.5% with good criteria and 82% in a broad trial with very good criteria. Meet the effectiveness criteria with an increase in the average learning motivation questionnaire before and after learning by 8.5% and student learning outcomes have increased as seen from the percentage of completeness pretest by 22.5% in the incomplete category and the percentage of completeness in the posttest by 77.4% in the complete category. e-module gamification mathematics based on problem based learning feasible to use if the criteria for validity, practicality, and effectiveness are met. In addition, students' learning motivation has increased after the use of e-module.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47857715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nur Aulia, Wayan Sumarjaya, Gusti Ayu, Made Srinadi
{"title":"PERAMALAN CURAH HUJAN DI BANDARA INTERNASIONAL I GUSTI NGURAH RAI MENGGUNAKAN METODE FUNGSI TRANSFER","authors":"Nur Aulia, Wayan Sumarjaya, Gusti Ayu, Made Srinadi","doi":"10.24843/mtk.2023.v12.i03.p421","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p421","url":null,"abstract":"The aim of this study was to identify the model and outcomes of the rainfall forecast at I Gusti Ngurah Rai International Airport using a transfer function model. The outcomes of the rainfall forecast at I Gusti Ngurah Rai International Airport are displayed using regression analysis based on the influence of the input variable humidity. Numerous characteristics of ARIMA models are included in a forecasting model known as the transfer function model. the best model in predicting rainfall data is and the level of accuracy of the rainfall forecast results obtained by MAPE value of 26.83%. This shows that the prediction of rainfall in this study is feasible.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47583904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mareta Sekar Larasati, Luh Putu, Ida Harini, Wayan Sumarjaya
{"title":"GRAPH TANGGA DAN SIFAT-SIFATNYA","authors":"Mareta Sekar Larasati, Luh Putu, Ida Harini, Wayan Sumarjaya","doi":"10.24843/mtk.2023.v12.i03.p416","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p416","url":null,"abstract":"Ladder Graph is one type of connected and simple graph that has its own uniqueness. The aim of this research is to find the k-deficiency of points in the spanning tree in the ladder graph. Calculation of k-deficiency is carried out for each additional step, starting from the second ladder ( L2), up to the nth Ladder (Ln). Calculations are based on a representative spanning tree on each ladder. In the end, we get a number pattern from the second ladder onwards which is then proven by mathematical induction, for the calculation of each step up the ladder. In this study, the pattern of k-deficiency points on the ladder graph was obtained.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46744358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rosalina Damayanti, Ni Ketut Tari Tastrawati, Kartika Sari
{"title":"ANALISIS PENJADWALAN PRODUKSI MENGGUNAKAN METODE NAWAZ ENSCORE HAM (NEH) DAN HEURISTIC POUR DALAM MEMINIMUMKAN TOTAL WAKTU PRODUKSI","authors":"Rosalina Damayanti, Ni Ketut Tari Tastrawati, Kartika Sari","doi":"10.24843/mtk.2023.v12.i03.p422","DOIUrl":"https://doi.org/10.24843/mtk.2023.v12.i03.p422","url":null,"abstract":"Competition in the industrial world is getting tougher, requiring companies to have the right strategy and planning in every production activity. CV. Puspa is a company engaged in rice production. CV. Puspa uses the First Come First Serve (FCFS) method in scheduling every job that comes. This research aims to minimize the total production time using the Nawaz Enscore Ham (NEH) and Heuristic Pour methods at CV. Puspa. The data used is quantitative data, namely data on the processing time for rice production during January 2021. Based on the results of a comparison of the total completion time with the efficiency index parameter, the NEH method shows better performance compared to the FCFS and Heuristic Pour methods as on January 19, 2021. Meanwhile, based on the results of hypothesis testing with the F test, it shows that the FCFS, NEH and Heuristic methods Pour has the same efficiency. Thus, in general the results of scheduling for January 2021 using the NEH method do not have significant an influence on the production scheduling used by CV. Puspa.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48786797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}